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Finding the Fourth Proportional to 532, 798.66 and 430.48

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Solution

The fourth proportional to 532, 798.66 and 430.48 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 798.66 = 430.48 : x
  2. Step 2: Convert to fraction form
    532/798.66 = 430.48/x
  3. Step 3: Cross multiply
    532x = 798.66 × 430.48
  4. Step 4: Simplify right side
    532x = 343,807.16
  5. Step 5: Solve for x
    x = 343,807.16/532
  6. Step 6: Final answer
    x = 646.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.